This paper extends the Proper Generalized Decomposition framework to develop a reduced-order model parameterized by Rayleigh damping coefficients. The developed method incorporates damping modes to construct a damped surrogate model effectively. A novel method is introduced for treating the problem in space: during the offline phase, the spatial problem is initially projected onto the subspace spanned

Contact problems are inherently non-linear and present significant computational challenges in simulations. Traditional proper orthogonal decomposition-based non-linear system reduction often proves inefficient due to the complexity of handling full-scale models. This article presents a generalized parametric model order reduction framework tailored for dynamic contact problems involving arbitrarily-shaped

This study proposes a novel time homogenization scheme designed for phase-field formulations in fatigue fracture analysis. Inspired by the methodologies for evaluating the long-term behavior of asphalt pavements, this study builds upon a phase-field formulation that accounts for material degradation due to fatigue and the Representative Crack Element formulation as an energy split. The novelty of this

The isotropic plastic hardening behavior of ductile metals is commonly characterized by the accumulated equivalent plastic strain. Advanced plasticity models further incorporate dependencies on hydrostatic pressure and Lode angle to more accurately represent material behavior under complex stress states. However, such models have rarely been applied to mild steels or structural failure analyses. This

A numerical method for the time-domain dynamic analysis of structures with viscoelastic energy dissipation dampers, modeled using fractional derivatives, is presented. Two fractional viscoelastic models are considered: the fractional Kelvin-Voigt model and another one referred to here as the fractional simplified Maxwell model, to distinguish it from the widely used fractional Maxwell model, where

This study introduces a three-step procedure for identifying high-resolution bridge mode shapes using responses from a limited number of test vehicles. First, contact-point displacements are retrieved from the vehicle responses using the generalized Kalman filter with unknown input algorithm. Second, the sparse bridge response matrix, populated with contact-point displacements, is completed using the

Unlike conventional concrete fractures, few models of 3D-printed concrete (3DPC) fractures have been reported; moreover, systematic validation across diverse tests, materials, and laboratories is lacking. This paper first reviews existing 3DPC fracture simulations against experiments, noting mixed performance in most cases. Additionally, current models often require excessive material parameters that

This paper develops an iterative solution model for the efficient and accurate simulation of the dynamics of a three-dimensional (3D) train-periodic slab track-subgrade (TPSTS) system. The entire system is divided into the train-rail subsystem and the periodic slab-subgrade subsystem. An ordinary differential equation (ODE) model of the train-rail system is established, and a step-moving strategy is

This paper presents numerical investigations of the abrasion behavior of concrete for hydraulic structures considering concrete structural characteristics as well as various hydraulic conditions. Three-dimensional mesoscale models of concrete composed of aggregates, mortar, and interfacial transition zones are developed using in-house Python 2 codes and the commercial finite-element software Abaqus

This paper presents a numerical investigation into the behavior of ultrasonic guided waves in a multilayered bone plate characterized by anisotropic and viscoelastic properties. A spectral collocation formula for bone structures is developed, enabling accurate computation of three-dimensional dispersion curves, wave structures, and attenuation of guided waves. Additionally, a mode classification scheme

In this article, a total Lagrangian selective smoothed finite element method (Selective S-FEM) is proposed for 3D multi-body contact dynamic analysis of biological soft tissues. A time-dependent total Lagrangian explicit algorithm is formulated in the proposed Selective S-FEM to calculate nonlinear large deformation of soft materials, considering incompressible, hyperelastic, and visco-hyperelastic

This paper presents an analytical approach that integrates the dynamic stiffness method (DSM) with the spectral dynamic stiffness method (SDSM) for broadband vibro-acoustic modelling of coupled beam-cavity systems. This combined method uses frequency-dependent shape functions to describe both the structural and the acoustic domains, while the interaction between them is analytically modelled by using

In this paper, a novel multi-material topology optimization method based on Bidirectional Evolutionary Structural Optimization (BESO) is proposed. The method employs a two-loop approach to optimize two-pile cap structures. The first loop focuses on minimizing structural compliance, thereby reducing the structure’s weight for a given material volume constraint. In the second loop, concrete elements

The aerodynamic characteristics of a rocket projectile have a direct impact on its flight performance, with tailfins playing a crucial role. Optimizing the tailfin shape is therefore a key focus in rocket projectile design. However, traditional optimization methods based on computational fluid dynamics (CFD) are time-consuming and inefficient. To address this, the study introduces a multi-fidelity

Rutting in asphalt pavements remains a critical challenge for infrastructure resilience under climate extremes. However, the effects of stress levels on the creep behavior of asphalt mixtures subjected to high temperature-humidity conditions have not been fully explored, especially when three-stage deformation occurs. Therefore, this study firstly proposes a five-parameter nonlinear viscoelastic model

This paper presents a new sensor placement method for real-time virtual sensing of full-field structural deformation. Virtual sensing is a key technology for structural digital twins and structural health monitoring. In mode-based virtual sensing, the appropriate placement of a limited number of strain sensors is essential. The proposed method addresses sensor placement by calculating target strain

Accurate and effective structural vibration response prediction is a fundamental yet challenging task in engineering. Despite extensive research endeavors, reliable multi-objective response prediction remains largely unexplored, which is due to two significant challenges: difficulties in sensor position selection and unbalanced response prediction across different tasks. To address these issues, an

This study presents a unique proposal for the estimation of structural reliability using a Bayesian neural network (BNN)-based probability density evolution of the structural response. The advantage of this approach is that the probability space is decoupled from the physical space, which helps in reliability estimation for both static and dynamic cases. The problem is more prominent for dynamic systems

In this paper, the minimization of the stress concentration due to noncircular holes and cutouts in functionally graded infinite plates subjected to uni-axial traction is considered. Under reasonable assumptions regarding the type of material variation, an optimization problem aimed at determining the best Young’s modulus distribution throughout the plate without prefixing its functional form is numerically

Realistic and accurate finite element (FE) models are crucial for understanding and predicting the health, performance, and safety of deteriorated structures. Accordingly, this paper presents a novel approach that integrates computer vision techniques and a phase field method to enhance FE damage analyses. Computer vision techniques are employed to analyze the visual inspection or monitoring data and

The coupled thermo-hydro-mechanical response caused by fire temperature transfer to surrounding rock/soil has a significant impact on tunnel safety. This study developed a numerical simulation model to evaluate the effects of fire on tunnel structures across different geological conditions. The heat transfer behavior varied with the mechanical properties and permeability of the geotechnics, concentrating

Understanding residual stress induced by welding continues to be an essential issue for joint design and product performance assessment. We propose a method to evaluate internal stress distributions from surface stresses using gappy proper orthogonal decomposition (POD). The POD modes were constructed by singular value decomposition of stress data (i.e., snapshot data for a one-pass bead-on-plate model

This research introduces and evaluates the Heuristic Particle Elimination Optimization algorithm, a novel approach to structural design problems. The elimination strategy in this method distinguishes it from other meta-heuristic algorithms. By systematically discarding solutions with higher objective values, the algorithm focuses its search on the most promising regions of the solution space. This

A semi-analytical numerical model based on the scaled boundary finite element method (SBFEM) is proposed for analyzing nonlinear liquid sloshing in containers subjected to pitching excitation. To track the motion of the liquid free surface, the Semi-Lagrangian (SL) method is employed, with two Cartesian coordinate systems comprising a fixed inertial system and a moving system. Meanwhile, a second-order

Double–double laminates can offer a lightweight design that is easy to taper by varying the number of repeated sub-plies. In this work, an innovative gradual thickness tapering optimization design method for DD laminates has been proposed, enabling the ply-drop design of DD laminates. Specifically, the progressive ply interpolation model has been put forward, simultaneously taking into account the

The generation of electrical energy using piezoelectric devices represents a promising alternative due to the high charge density these materials can generate. Cantilever beam devices modeled using finite element methods are commonly used in studies focused on the conversion of mechanical energy into electrical energy. With this, the influence of specific variables and parameters can be analyzed through

Rapid assessment of building damage levels has become very important and has received considerable attention in structural engineering. Traditional methods for this work involve manual inspection, which is often tedious and time-consuming. Deep learning technology in computer vision has developed rapidly in recent years and has proven its superiority. This paper aims to develop an efficient approach

In this paper, concrete cracking is investigated in dynamics through finite element modeling. A probabilistic approach is employed to translate the effects of material heterogeneity on tensile strength and fracture energy. Both parameters depend on compressive strength and heterogeneity degree (volumetric ratio between finite element and largest aggregate). Material softening is modeled through damage

Many soft biological structures have natural features of viscoelastic and hyperelastic materials. Research focused on the growth biomechanics of these structures is challenging from theoretical and experimental points of view, especially when irregular forms/defects of biological objects should be considered. To this aim, an effort is made in this paper to develop a general nonlinear finite element

The Bayesian model updating method usually involves tens of thousands of finite element model calculations, which will bring huge computational costs to large structures such as bridges. To reduce the computational costs, this paper develops a highly efficient Bayesian model updating method based on a new static homotopy surrogate model. The new surrogate model is established on the basis of the finite

This paper proposes a novel data-driven surrogate model for predicting the hysteresis response, i.e., axial force – axial deformation, of steel braces in concentrically braced frames under seismic loading using transfer learning-based artificial neural networks. Transfer learning is utilized to leverage pre-trained baseline long short-term memory networks and transfer its knowledge to the new hysteresis

A model of train–track–bridge coupled system is proposed to study the interactions between structures in greater detail. The new model employs a meshless method to numerically simulate the box girder bridge and track slab. In the dynamic analysis, the system at each time step is abstracted into a graph structure and trained using a graph neural network to develop a surrogate prediction model. The graph

The melt-cast charging process, widely used in warheads for its adaptability, cost efficiency, and automation, requires optimization to minimize defects such as shrinkage cavities and porosity that compromise explosive quality, destructive power, and safety, particularly in large-volume munitions. The hot mandrel technique, by providing localized heating during solidification, helps maintain an open

A new method to compute the dynamic response of periodic waveguides with localised nonlinearities is introduced and used to investigate the nonlinear shift of a band-edge mode in the bandgap of a locally resonant phononic structure. This nonlinear extension of the Wave Finite Element Method (WFEM) uses a finite-element discretisation of arbitrarily complex unit-cells, and leverages Floquet–Bloch theory

Classifying vibration mode shapes of a structure in an engineering design cycle can be a labor intensive and repetitive task. Although several methods have been proposed to automatically classify mode shapes, most existing models cannot fully represent mode shapes using both structural and modal information, limiting their application to specific structures. In this paper, we propose a graph convolutional

Condensation of large-scale finite element models while maintaining high prediction accuracy is crucial for efficient structural analysis and design. To this end, a novel Bayesian framework for model condensation and selection of master degrees of freedom (DOFs) is developed in this paper. The main idea behind it is to recast model condensation into the Bayesian full-field reconstruction problem. In

The conservative problem of the stability of symmetric nonlinear normal modes (NNMs) of sagged cables is analysed. Based on harmonic shape functions, the equations of motion for a conservative sagged cable are derived and nonlinear normal modes are calculated as a continuation of the linear modes, via the harmonic balance approach. Leveraging symmetry, we decouple the equations of motion, obtaining

Benchmark artifacts serve as an appropriate mean to represent quality measures in additively manufactured components. Especially witness specimens, which represent structural properties as a subtype of benchmark artifacts, are supposed to reproduce target stress states as they are critical for component failure.

Frugal wavelet transform (FrugWT) is a new version of discrete wavelet transform (DWT), acting as an efficient tool for detecting signal singularities. It is proven that the frugal wavelet transform usually performs better than other versions of the wavelet transforms in detecting singularities and local abrupt changes in the signals, specifically when we use wavelet functions with lower vanishing

With the increasing requirements of vehicle green level and safety level, deciding how to reasonably balance lightweight levels and crashworthiness objectives during the design phase has been a widespread concern in the field of passive safety. This study proposes an extended R-number-based multi-objective optimization method for optimal design of vehicle structures incorporating Non-dominated Sorting

In this research, we develop a numerical framework capable of evaluating the electrostriction effect on the electrostatic, finite deformation and viscoelastic response of dielectric elastomers. The principle of virtual work is employed to derive the governing equations and their weak form. The Zener rheological model is adopted for viscoelastic modeling. The constitutive equations incorporate the electrostriction

In this paper, an effective strategy is proposed for high-cycle fatigue life assessment under random excitation, with the generalized Lyapunov equation method (GLEM). Firstly, the Lyapunov equation method is generalized for odd spectral moments, which can be expressed in the Hilbert transform of the auto-correlation function. Then, a semi-analytic coefficient matrix of the Lyapunov equation is deduced

As a layer-wise construction method, 3D-printed concrete (3DPC) introduces weak interfaces between layers, resulting in different mechanical behavior in different directions. Most studies investigate this anisotropic behavior based on experimental specimen-scale samples and do not apply it in practical engineering. To address this need, the present paper develops a peridynamic (PD) method for the anisotropic

Most existing research on the identification of moving loads in the presence of uncertainties primarily focuses on parametric uncertainties related to the variability or the lack of knowledge of some parameters of the computational model. Such an approach does not allow the consideration of uncertainties related to modelling errors, for instance those related to the discretisation of the structure

In recent years, significant advancements have been made in computational methods for analyzing masonry structures. Within the Finite Element Method, two primary approaches have gained traction: Micro and Macro Scale modeling, and their subsequent integration via Multi-scale methods based on homogenization theory and the representative volume element concept. While Micro and Multi-scale approaches

The lowest-order neural approximated virtual element method on polygonal elements is proposed here. This method employs a neural network to locally approximate the virtual element basis functions, thereby eliminating issues concerning stabilization and projection operators, which are the key components of the standard virtual element method. By employing neural networks, the computational burden of

Piezoelectric vibration energy harvesting holds great potential for converting ambient vibrations into electrical energy. Establishing a suitable theoretical model to predict the performance of piezoelectric harvesters under base excitation is essential. This paper proposes a dynamic stiffness (DS) modeling technique to predict the electromechanical coupling responses of piezoelectric beams. The modeling

Multi-material topology optimization has emerged as a powerful design tool, enabling the integration of different material properties to enhance structural performance. A critical challenge in applying stress constraints to multi-material structures is that each material has a distinct stress limit that must not be exceeded. Conventional approaches typically address this by enforcing a single stress

The paper presents a novel approach to the analysis of buckling in thin-walled steel beams with modified cross-sectional shapes, focusing on their behavior under four-point bending. The aim of the study was to develop and examine new methods for determining critical loads for structural members with non-standard cross-sectional shapes, which are innovative in themselves. These methods are based on

We present a novel numerical model for the upper bound limit analysis of in-plane loaded masonry structures. The construction is represented as a continuum model composed of planar elements whose kinematics combines rigid body velocities and plastic strain rates. The global velocity field remains continuous and crack configurations are described via plastic strain rates. Homogenization ensures the

Discrete element method has a congenital advantage over the continuous numerical methods for simulating the damage and fracture of geo-materials, as its calculation principles align with the discontinuous nature of these materials. Due to the unclear relationship between element scale and element strength (size effect), the element parameters, especially for the field-scale model, are quite hard to

This paper presents a comprehensive study on step-size control in continuation methods. It reviews various well-known approaches, identifies suitable control parameters and introduces two schemes combining the parameters. Additionally a novel event-based control approach is presented. The effectiveness of these methods is evaluated through the use of simple examples and a nonlinearly coupled beam that

This paper presents a computational framework for compliance-based multi-scale concurrent topology optimization including self-weight. The macro-scale structure consists of periodically arranged composite micro-structures, such that the representative unit cell of each micro-structure is composed of multiple base-materials, instead of single base-material as usually encountered in the literature. The

In structural reliability estimation, generalized subset simulation (GSS) method is used to estimate failure probabilities of multiple performance functions simultaneously by a single run. However, compared with the original subset simulation (SuS), although GSS has reduced the computational cost, the uncertainty and unbiasedness of the estimation results is still inferior in some cases. In this paper

Enhanced virtual elements are coupled with cohesive interfaces to create a numerical tool tailored for large displacement analysis of block structures. The model is particularly suitable for masonry composed of stones or bricks connected with or without mortar. Each masonry block is modeled with a single elastic virtual element (VE), based on a divergence-free polynomial approximation of the stress

Electric Vertical Take-Off and Landing (eVTOL) vehicles hold great promise for mitigating traffic congestion and the performance of eVTOL battery packs plays a crucial role in advancing this mode of transportation. This paper introduces a methodology for optimizing eVTOL battery packs, employing level-set topology optimization while accounting for multiphysics loads to achieve a lightweight structure

The cylindrical shell with an arbitrary cross-section exhibits a pronounced variation in circumferential curvature, which presents a major challenge to the structural vibration analysis. This work develops a wavelet-based method to analyze the vibration of cylindrical shells with arbitrary cross-sections. First, the detailed process of shell vibration modeling is provided by the variational method

This study presents an analytical solution for the lateral vibration of offshore piles embedded in multi-layered poroelastic soils, taking into account the effect of variations in soil plug height. The pipe pile is divided into four sections to analyze its interaction with different media. The governing equations for each section are solved separately, and the pile impedance is derived considering

The purpose of this study is to inspect the combined effect of reinforcement shape and packing on the macroscopic behaviour of particulate composites. The introduced micromechanical approach modifies the Morphologically Representative Pattern scheme with the Replacement Mori–Tanaka Model. The statistical volume elements have randomly placed inclusions with a selected shape. Four shapes of inhomogeneities

Finite element analysis of the fractional viscoelastic model of asphalt concrete (AC) is typically performed on small specimens, with algorithms that suffer from high memory consumption and low computational efficiency, limiting their application to large-scale structures. This paper proposes a memory-saving algorithm with variable increment size for fractional viscoelastic models of AC in finite element